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Extracting quasinormal modes from compact binary mergers to perform black hole spectroscopy is one of the fundamental pillars in current and future strong-gravity tests. Among the most remarkable findings of recent works is that including a…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Peter James Nee , Sebastian H. Völkel , Harald P. Pfeiffer

We investigate how resonant excitation near exceptional points manifests in Kerr black hole ringdown waveforms and examine its extraction. Using waveforms generated by localized initial data, where quasinormal mode amplitudes are given…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Kei-ichiro Kubota , Hayato Motohashi

It is possible to infer the mass and spin of the remnant black hole from binary black hole mergers by comparing the ringdown gravitational wave signal to results from studies of perturbed Kerr spacetimes. Typically these studies are based…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Matthew Giesler , Maximiliano Isi , Mark Scheel , Saul Teukolsky

Using gravitational waves to probe the geometry of the ringing remnant black hole formed in a binary black hole coalescence is a well-established way to test Einstein's theory of general relativity. However, doing so requires knowledge of…

Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Norichika Sago , Soichiro Isoyama , Hiroyuki Nakano

Using high-accuracy numerical relativity waveforms, we confirm the presence of numerous overtones of the $\ell=2$, $m=2$ quasinormal mode early in the ringdown of binary black hole mergers. We do this by demonstrating the stability of the…

In light of the current (and future) gravitational wave detections, more sensitive tests of general relativity can be devised. Black hole spectroscopy has long been proposed as a way to test the no-hair theorem, that is, how closely an…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Iara Ota , Cecilia Chirenti

In general relativity, when two black holes merge they produce a rotating (Kerr) black hole remnant. According to perturbation theory, the remnant emits "ringdown" radiation: a superposition of exponentials with characteristic complex…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Mark Ho-Yeuk Cheung , Emanuele Berti , Vishal Baibhav , Roberto Cotesta

The ringdown portion of a binary black hole merger consists of a sum of modes, each containing an infinite number of tones that are exponentially damped sinusoids. In principle, these can be measured as gravitational-waves with…

Black hole spectroscopy is the program to measure the complex gravitational-wave frequencies of merger remnants, and to quantify their agreement with the characteristic frequencies of black holes computed at linear order in black hole…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Vishal Baibhav , Mark Ho-Yeuk Cheung , Emanuele Berti , Vitor Cardoso , Gregorio Carullo , Roberto Cotesta , Walter Del Pozzo , Francisco Duque

Validating the black-hole no-hair theorem with gravitational-wave observations of compact binary coalescences provides a compelling argument that the remnant object is indeed a black hole as described by the general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Swetha Bhagwat , Xisco Jimenez Forteza , Paolo Pani , Valeria Ferrari

We investigate the parametrized black hole quasinormal ringdown formalism, which is a robust framework used to analyze quasinormal modes in systems that closely resemble general relativity, paying particular attention to the higher…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Shin'ichi Hirano , Masashi Kimura , Masahide Yamaguchi , Jiale Zhang

In general relativity, the remnant object originating from an uncharged black hole merger is a Kerr black hole. The approach to this final state is reached through the emission of a late train of radiation known as the black hole ringdown.…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Xisco Jiménez Forteza , Pierre Mourier

Modelling the end point of binary black hole mergers is a cornerstone of modern gravitational-wave astronomy. Extracting multiple quasinormal mode frequencies from the ringdown signal allows the remnant black hole to be studied in…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eliot Finch , Christopher J. Moore

The black hole uniqueness and the no-hair theorems imply that the quasinormal spectrum of any astrophysical black hole is determined solely by its mass and spin. The countably infinite number of quasinormal modes of a Kerr black hole are…

General Relativity and Quantum Cosmology · Physics 2020-08-31 Xisco Jiménez Forteza , Swetha Bhagwat , Paolo Pani , Valeria Ferrari

Gravitational waves provide direct information about the nature of spacetime and the existence of black holes. The remnant of a binary black hole merger emits gravitational waves in the form of quasinormal modes, whose spectrum is known as…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Iara Ota

We provide the most complete analysis so far of quasinormal modes of rotating black holes in a general higher-derivative extension of Einstein's theory. By finding the corrections to the Teukolsky equation and expressing them in a simple…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Pablo A. Cano , Lodovico Capuano , Nicola Franchini , Simon Maenaut , Sebastian H. Völkel

The relaxation of a distorted black hole to its final state provides important tests of general relativity within the reach of current and upcoming gravitational wave facilities. In black hole perturbation theory, this phase consists of a…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Vishal Baibhav , Emanuele Berti , Vitor Cardoso , Gaurav Khanna

A perturbed black hole rings down by emitting gravitational waves in tones with specific frequencies and durations. Such tones encode prized information about the geometry of the source spacetime and the fundamental nature of gravity,…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Maximiliano Isi , Will M. Farr

The intricacies of black hole ringdown analysis are amplified by the absence of a complete set of orthogonal basis functions for quasinormal modes. Although damped sinusoids effectively fit the ringdown signals from binary black hole…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Hengrui Zhu , Justin L. Ripley , Alejandro Cárdenas-Avendaño , Frans Pretorius
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